Optimal topology design of steel-concrete composite structures under stiffness and strength constraints

  • Authors:
  • Yangjun Luo;Michael Yu Wang;Mingdong Zhou;Zichen Deng

  • Affiliations:
  • School of Mechanics, Civil Engineering & Architecture, Northwestern Polytechnical University, Xi'an 710072, China and Department of Mechanical and Automation Engineering, The Chinese University of ...;Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong;Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong;School of Mechanics, Civil Engineering & Architecture, Northwestern Polytechnical University, Xi'an 710072, China

  • Venue:
  • Computers and Structures
  • Year:
  • 2012

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Abstract

This study presents a three-phase topology optimization model and an effective solution procedure to generate optimal material distributions for complex steel-concrete composite structures. The objective is to minimize the total material cost (or mass) while satisfying the specified structural stiffness requirements and concrete strength constraints. Based on the Drucker-Prager criterion for concrete yield behaviour, the extended power-law interpolation for material properties and a cosine-type relaxation scheme for Drucker-Prager stress constraints are adopted. An enhanced aggregation method is employed to efficiently treat the large number of stress constraints, and the optimal topology is obtained through a standard gradient-based search. Several examples are provided to demonstrate the capability of the proposed optimization method in automatically finding the reasonable composite layout of steel and concrete.